Cargando…
Foundational Theories of Classical and Constructive Mathematics
The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontatio...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | The Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields,
76 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Introduction : Giovanni Sommaruga Part I: Senses of ,foundations of mathematics' Bob Hale, The Problem of Mathematical Objects Goeffrey Hellman, Foundational Frameworks Penelope Maddy, Set Theory as a Foundation Stewart Shapiro, Foundations, Foundationalism, and Category Theory
- Part II: Foundations of classical mathematics Steve Awodey, From Sets to Types, to Categories, to Sets Solomon Feferman, Enriched Stratified Systems for the Foundations of Category TheoryColin McLarty, Recent Debate over Categorical Foundations
- Part III: Between foundations of classical and foundations of constructive mathematics John Bell, The Axiom of Choice in the Foundations of Mathematics Jim Lambek and Phil Scott, Reflections on a Categorical Foundations of Mathematics
- Part IV: Foundations of constructive mathematics Peter Aczel, Local Constructive Set Theory and Inductive Definitions David McCarty, Proofs and Constructions John Mayberry, Euclidean Arithmetic: The Finitary Theory of Finite Sets, Paul Taylor, Foundations for Computable Topology Richard Tieszen, Intentionality, Intuition, and Proof in Mathematics.